Abstract
In this paper the generalized equations for spinningspace are investigated and the constants of motion are derived interms of the solutions of these equations. We study the geodesicmotion of the pseudo-classical spinning particles in the spacetimeproduced by an idealized cosmic string and the non-extremestationary axisymmetric black hole spacetime. The bound state orbitsin a plane are discussed. We also show, for a conical spacetime andthe Kerr spacetime, that the geodesic motion of spinning particles is different.
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